I hope you at least appreciate the geometry lesson. I always say that if people leave this site a little more knowledgeable than they came then their visit was fruitful and worthwhile, whether they've opened their mind to the truth about the shape of the Earth or not.
This. I very much agree with this statement. Things can and have been learned on both sides of the argument, myself included. I love this website.
As for the OP, read what others have said. You don't understand geometry very well. As far as I have been taught, on a sphere, travelling in a perfectly straight line will make a perfect circle around said sphere. So, the "multiple paths" to the same object is going forward to it, or backwards. Not very practical, as this has not been proven. Unless this object is on the exact other side of the Earth, than yes, any direction you choose would lead to it. But that is it.
btw, not sure if you knew this or not, but I am going to say this anyway. Lines of latitude do not travel in a straight line. In RE, depending on north or south hemisphere, curve slightly. Only the equator travels in a "perfectly straight" line.
Also, the Earth not being a perfect sphere does not add anything to what you are saying. Cheers.